RD Sharma Class 7 ex 22.1 Solutions Chapter 22 Data Handling I (Collection and Organization of Data)

In this chapter, we provide RD Sharma Class 7 ex 22.1 Solutions Chapter 22 Data Handling I (Collection and Organization of Data) for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 7 ex 22.1 Solutions Chapter 22 Data Handling I (Collection and Organization of Data) Maths pdf, Now you will get step by step solution to each question.

TextbookNCERT
ClassClass 7
SubjectMaths
ChapterChapter 22
Chapter NameData Handling I (Collection and Organization of Data)
ExerciseEx 22.1

RD Sharma Solutions for Class 7 Chapter 22 Data Handling I (Collection and Organization of Data) Ex 22.1 Download PDF

Chapter 22 Data Handling I (Collection and Organization of Data) Exercise – 22.1

Question: 1

Define the following terms:

(i) Observations

(ii) data

(iii) Frequency of an observation

(iv) Frequency distribution

Solution:

(i) Observation is the activity of paying close attention to someone or something in order to get information in numerical form.

(ii) Data:

The collection of observations is known as data.

(iii) Frequency of an observation:

The number of times an observation occurs in a given data is called the frequency of an observation.

(iv) Frequency Distribution:

It is a method of presenting raw data in a form that can be easily understood.

Question: 2

The final marks in mathematics of 30 students are as follows:

53, 61, 48, 60, 78, 68, 55, 100, 67, 90

75, 88, 77, 37, 84, 58, 60, 48, 62, 56

44, 58, 52, 64, 98, 59, 70, 39, 50, 60

(i) Arrange these marks in the ascending order. 30 to 39 one group, 40 to 49 second group, etc.

(ii) What is the highest score?

(iii) What is the lowest score?

(iv) What is the range?

(v) If 40 is the pass mark how many have failed?

(vi) How many have scored 75 or more?

(vii) Which observations between 50 and 60 have not actually appealed?

(viii) How many have scored less than 50?

Solution:

(i) Ascending order of the numbers in groups:

(30-39): 37, 39

(40 – 49): 44, 48, 48

(50 – 59): 50, 52, 53, 55, 56, 58, 58, 59

(60 – 69): 60, 60, 60, 61, 62, 64, 67, 68

(70 – 79): 70, 75, 77, 78

(80 – 89): 84, 88

(90 – 99): 90, 98

(100-109): 100

(ii) The highest score is 100.

(iii) The lowest score is 37.

(iv) Range is = Maximum observation – Minimum observation.

= 100 – 37 = 63.

(v) If 40 is the pass mark, then only 2 students have failed.

(vi) 8 students have scored 75 or more.

(vii) 51, 54 and 57 are not there between 50 and 60.

(viii) 5 students scored less than 50.

Question: 3

The weights of new born babies (in kg) in a hospital on a particular day are as follows:

2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4

(i) Rearrange the weights in descending order.

(ii) Determine the highest weight.

(iii) Determine the lowest weight.

(iv) Determine the range.

(v) How many babies were born on that day?

(vi) How many babies weigh below 2.5 kg?

(vii) How many babies weigh more than 2.8?

(viii) How many babies weigh 2.8 kg?

Solution:

(i) Weights in descending order:

3.1, 3.0, 2.9, 2.9, 2.8, 2.8, 2.7, 2.7, 2.6, 2.5, 2.5, 2.4, 2.3, 2.2, 2.1

(ii) Highest weight: 3.1 Kg.

(iii) Lowest weight: 2.1 Kg.

(iv) Range = Maximum observation – Minimum observation

= (3.1-2.1) kg = 1.0 Kg.

(v) A total of 15 babies were born on that day.

(vi) 4 babies weigh below 2.5 kg.

(vii) 4 babies weigh more than 2.8 kg.

(viii) 2 babies weigh 2.8 kg.

Question: 4

Following data gives the number of children in 40 families:

1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2

2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2

Represent it in the form of a frequency distribution.

Solution:

Required frequency-distribution table:

Number of childrenFrequency
05
17
211
35
46
53
63

Question: 5

Prepare a frequency table of the following scores obtained by 50 students in a test:

42512142373742493852
733174439714273942
42623739675153535941
29382731541953512261
42395947333416375743

Solution:

MarksNo. of Students
72
141
161
171
191
211
221
272
291
311
332
341
374
382
394
411
426
431
441
471
491
513
521
533
541
571
592
611
621
671


Question: 6

A die was thrown 25 times and following scores were obtained:

15243
61425
16263
54132
36152

Prepare a frequency table of the scores.

Solution:

ScoreNumber of Times
15
25
34
43
54
64


Question: 7

In a study of number of accidents per day, the observations for 30 days were obtained as follows:

6356432542
4212205461
6053615526

Prepare a frequency distribution table.

Solution:

Required frequency-distribution table:

Number of AccidentsNumber of Days
02
13
26
33
44
56
66


Question: 8

Prepare a frequency table of the following ages (in years) of 30 students of class VIII in your school:

13, 14, 13, 12, 14, 13, 14, 15, 13, 14, 13, 14, 16, 12, 14

13, 14, 15, 16, 13, 14, 13, 12, 17, 13, 12, 13, 13, 13, 14

Solution:

Frequency Distribution Table is:

Ages (in years)Number of Students
124
1312
149
152
162
171


Question: 9

Following figures relate the weekly wages (in Rs.) of 15 workers in a factory:

300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150, 300, 150, 200, 250

Prepare a frequency table.

(i) What is the range in wages (in Rs)?

(ii) How many Workers are getting Rs 350?

(iii) How many workers are getting the minimum wages?

Solution:

Frequency Distribution Table is

Wages (in Rs.)Number of Workers
1503
2005
2504
3002
3501

(i) The range in wages (in Rs.) = 350 – 150 = 200.

(ii) Only 1 worker is getting Rs. 350.

(iii) 3 workers are getting the minimum wages, i.e., Rs. 150.

Question: 10

Construct a frequency distribution table for the following marks obtained by 25 students in a history test in class VI of a school:

9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9,12, 18, 17,19, 20,25, 9, 12, 17, 19, 19, 20, 9

(i) What is the range of marks?

(ii) What is the highest mark?

(iii) Which mark is occurring more frequently?

Solution:

Required frequency-distribution table: 

MarksFrequency
96
124
174
182
194
203
252

(i) Range of marks: 25 – 9 = 16.

(ii) The highest mark is 25.

(iii) 9 is occurring most frequently.

Question: 11

In a mathematics test following marks were obtained by 40 students of class VI. Arrange these marks in a table using, tally marks.

8137655442
4953716527
7384269586
7456964466

(i) Find how many students obtained marks equal to or more than 7?

(ii) How many students obtained marks below 4?

Solution:

The Frequency Distribution Table is:

MarksTally MarksFrequency
1ll2
2lll3
3lll3
4llll ll7
5llll l6
6llll ll7
7llll5
8llll4
9lll3

(i) 12 students obtained marks equal to or more than 7.

(ii) Only 8 students obtained marks below 4.

Question: 12

Following is the choice of sweets of 30 students of class VI: Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi Rasgulla, Ladoo. Rasgulla, Jalebi, Ladoo. Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla. Rasgulla, Ladoo.

(i) Arrange the names of sweets in a table using tally marks.

(ii) Which sweet is preferred by most of the students?

Solution:

SweetTally MarksFrequency
Ladoollll llll ll12
Barfilll3
Jalebillll l6
Rasgullallll llll9

All Chapter RD Sharma Solutions For Class 7 Maths

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